1000414012013 has 16 divisors (see below), whose sum is σ = 1118080486320. Its totient is φ = 888766953984.

The previous prime is 1000414012001. The next prime is 1000414012021. The reversal of 1000414012013 is 3102104140001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 605901889609 + 394512122404 = 778397^2 + 628102^2 .

It is not a de Polignac number, because 1000414012013 - 2²² = 1000409817709 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000414011982 and 1000414012000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000414011013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4121006 + ... + 4357007.

It is an arithmetic number, because the mean of its divisors is an integer number (69880030395).

Almost surely, 2^{1000414012013} is an apocalyptic number.

1000414012013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1000414012013 is a deficient number, since it is larger than the sum of its proper divisors (117666474307).

1000414012013 is a wasteful number, since it uses less digits than its factorization.

1000414012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8478368.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1000414012013 its reverse (3102104140001), we get a palindrome (4102518152014).

The spelling of 1000414012013 in words is "one trillion, four hundred fourteen million, twelve thousand, thirteen".